{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:LLUYDDHQWJZQJZKVLPFVN6OHNT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"7a03eb8042a332757e252e658cd9c365b5a7c348508eef33bca69cb8e64d8224","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-01T23:43:40Z","title_canon_sha256":"83b478c18c2d8883f95d2324f87b283fe80454b56d996ca73010869bf23b5b85"},"schema_version":"1.0","source":{"id":"1012.0352","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0352","created_at":"2026-05-18T01:09:22Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0352v1","created_at":"2026-05-18T01:09:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0352","created_at":"2026-05-18T01:09:22Z"},{"alias_kind":"pith_short_12","alias_value":"LLUYDDHQWJZQ","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LLUYDDHQWJZQJZKV","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LLUYDDHQ","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:b240e66f19b577deec59a9b8f6e40cfeffe8737a7a94cf9583f035664dacbc60","target":"graph","created_at":"2026-05-18T01:09:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We use the thermofield dynamics (TFD) formalism to obtain the energy-momentum tensor for the Kalb-Ramond (KR) field in a topology $% S^{1}\\times S^{1}\\times R^{2}$. The compactification is carried out by a generalized TFD-Bogoliubov transformation that is used to define a renormalized energy-momentum tensor. The expressions for the Casimir energy and pressure at finite temperature are then derived. A comparative analysis with the electromagnetic case is developed, and the results may be important for applications, as in cuprate superconductivity, for instance.","authors_text":"A.E. Santana, H. Belich, J.A. Helay\\\"el-Neto, L.M. Silva","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-01T23:43:40Z","title":"Casimir Effect at finite temperature for the Kalb-Ramond field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0352","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f734ecc82438f0601e4744bee37e2f51e36d4e8089032ec29b0cef6b41420b6e","target":"record","created_at":"2026-05-18T01:09:22Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"7a03eb8042a332757e252e658cd9c365b5a7c348508eef33bca69cb8e64d8224","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-01T23:43:40Z","title_canon_sha256":"83b478c18c2d8883f95d2324f87b283fe80454b56d996ca73010869bf23b5b85"},"schema_version":"1.0","source":{"id":"1012.0352","kind":"arxiv","version":1}},"canonical_sha256":"5ae9818cf0b27304e5555bcb56f9c76cc25be969a1e557570a523bd69cd00f1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ae9818cf0b27304e5555bcb56f9c76cc25be969a1e557570a523bd69cd00f1c","first_computed_at":"2026-05-18T01:09:22.035370Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:22.035370Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xuVu7qPeD9tlMxMoogbkBJOrqHx79SK7PtC/FSxijIcETYb6uAnvRlzzKWXidahEtjlLZ8CbL9zj+Yp86s69BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:22.035779Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.0352","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f734ecc82438f0601e4744bee37e2f51e36d4e8089032ec29b0cef6b41420b6e","sha256:b240e66f19b577deec59a9b8f6e40cfeffe8737a7a94cf9583f035664dacbc60"],"state_sha256":"d036e2e5bcd07a74f0f3ad3acb4b2ed7203136ab64aaa0aa671f74bfd824ddb3"}